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Simplifying -7(1 + 4k) = -231 (1 * -7 + 4k * -7) = -231 (-7 + -28k) = -231 Solving -7 + -28k = -231 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -28k = -231 + 7 Combine like terms: -7 + 7 = 0 0 + -28k = -231 + 7 -28k = -231 + 7 Combine like terms: -231 + 7 = -224 -28k = -224 Divide each side by '-28'. k = 8 Simplifying k = 8
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